A Rooted-Forest Partition with Uniform Vertex Demand

  • Naoki Katoh
  • Shin-ichi Tanigawa
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5942)


A rooted-forest is a graph having self-loops such that each connected component contains exactly one loop, which is regarded as a root, and there exists no cycle consisting of non-loop edges. In this paper, we shall study on a partition of a graph into edge-disjoint rooted-forests such that each vertex is spanned by exactly d components of the partition, where d is a positive integer.


Counting Condition Submodular Function Capacity Function Vertex Incident Rigid Framework 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Naoki Katoh
    • 1
  • Shin-ichi Tanigawa
    • 1
  1. 1.Department of Architecture and Architectural EngineeringKyoto UniversityKyotoJapan

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